Which graph shows the solution to the system of linear inequalities?
2 answers:
Answer:
None of them
Step-by-step explanation:
Both inequalities are shown with < (less than) symbols. Thus the boundary line on both plots of the solution graph should be dashed (not solid) lines. The best choice is the last graph (attached), but the marked line should be dashed, not solid.
The first inequality can be rewritten as ...
... y > (1/4)x -1
The y-intercept of the boundary line will be -1, and the slope of it will be 1/4. Since the inequality symbol is > (not ≥), the boundary line should be dashed. The acceptable values of y are greater than those on the line, so the (blue) shading will be above the line.
The second inequality has a boundary line with a slope of 1 and a y-intercept of +1. Since the inequality symbol is < (not ≤), the boundary line should be dashed (as it is in the attached graph). Acceptable values of y are less than those on the line, so the (red) shading will be below the line.
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Answer:
The two equations that can be used to find each of their ages are and
.
Step-by-step explanation:
We are given that Mrs. Lang is 4 times as old as her daughter Jill. The sum of their ages is 60 years.
Let the age of Mrs. Lang be 'x years' and the age of her daughter Jill be 'y years'.
Now, according to the question;
- The <u>first condition</u> states that Mrs. Lang is 4 times as old as her daughter Jill, that means;
----------------- [equation 1]
- The <u>second condition</u> states that the sum of their ages is 60 years, that means;
{using equation 1}
y = 12 years
Now, putting the value of y in equation 1 we get;
= 48 years
Hence, the age of Mrs. Lang is 48 years and her daughter Jill is 12 years old.
Answer:
AB=7.21 unit
BC=6 unit
CD=7.21 unit
AD= 6 unit
AC=4 unit
BD=4 unit
Step-by-step explanation:
Coordinates of A =(-2,3)
Coordinates of B = (2,-3)
Coordinates of C = (2,3)
Coordinates of D =(-2,-3)
Distance formula :
AB=7.21 unit
BC=6
CD=7.21
AD=6
AC=4
BD=
BD=4